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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 105°, a = 12 cm, c = 19 cm

Respuesta :

Answer:

The area of triangle is [tex]110.10cm^{2}[/tex]

Step-by-step explanation:

It is given that AB=19cm, BC=12cm and ∠B=105°

Now, Area of the triangle ABC=[tex]\frac{1}{2}acsinB[/tex]

=[tex]\frac{1}{2}{\times}12{\times}19{\times}sin105^{\circ}[/tex]

=[tex]6{\times}19{\times}(0.965)[/tex]

=[tex]110.10cm^{2}[/tex]

Thus, the area of triangle is [tex]110.10cm^{2}[/tex]

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